Faster access than browser!Similarities between 3-manifold and List of geometric topology topics
3-manifold and List of geometric topology topics have 34 things in common (in Unionpedia): Borromean rings, Connected sum, Dehn's lemma, Embedding, Figure-eight knot (mathematics), Fundamental group, Geometric topology, Geometrization conjecture, Graph manifold, Haken manifold, Handlebody, Heegaard splitting, Homology sphere, Hyperbolic 3-manifold, I-bundle, Incompressible surface, Knot (mathematics), Knot complement, Knot theory, Lens space, Link (knot theory), Low-dimensional topology, Manifold, Orientability, Poincaré conjecture, Seifert fiber space, Sphere, Spherical 3-manifold, Surface (topology), Surface bundle over the circle, ..., Thurston elliptization conjecture, Torus, Torus bundle, 3-sphere. Expand index (4 more) »
Borromean rings
In mathematics, the Borromean rings consist of three topological circles which are linked and form a Brunnian link (i.e., removing any ring results in two unlinked rings).
3-manifold and Borromean rings · Borromean rings and List of geometric topology topics ·
Connected sum
In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds.
3-manifold and Connected sum · Connected sum and List of geometric topology topics ·
Dehn's lemma
In mathematics Dehn's lemma asserts that a piecewise-linear map of a disk into a 3-manifold, with the map's singularity set in the disk's interior, implies the existence of another piecewise-linear map of the disk which is an embedding and is identical to the original on the boundary of the disk.
3-manifold and Dehn's lemma · Dehn's lemma and List of geometric topology topics ·
Embedding
In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.
3-manifold and Embedding · Embedding and List of geometric topology topics ·
Figure-eight knot (mathematics)
In knot theory, a figure-eight knot (also called Listing's knot or a Cavendish knot) is the unique knot with a crossing number of four.
3-manifold and Figure-eight knot (mathematics) · Figure-eight knot (mathematics) and List of geometric topology topics ·
Fundamental group
In the mathematical field of algebraic topology, the fundamental group is a mathematical group associated to any given pointed topological space that provides a way to determine when two paths, starting and ending at a fixed base point, can be continuously deformed into each other.
3-manifold and Fundamental group · Fundamental group and List of geometric topology topics ·
Geometric topology
In mathematics, geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another.
3-manifold and Geometric topology · Geometric topology and List of geometric topology topics ·
Geometrization conjecture
In mathematics, Thurston's geometrization conjecture states that certain three-dimensional topological spaces each have a unique geometric structure that can be associated with them.
3-manifold and Geometrization conjecture · Geometrization conjecture and List of geometric topology topics ·
Graph manifold
In topology, a graph manifold (in German: Graphenmannigfaltigkeit) is a 3-manifold which is obtained by gluing some circle bundles.
3-manifold and Graph manifold · Graph manifold and List of geometric topology topics ·
Haken manifold
In mathematics, a Haken manifold is a compact, P²-irreducible 3-manifold that is sufficiently large, meaning that it contains a properly embedded two-sided incompressible surface.
3-manifold and Haken manifold · Haken manifold and List of geometric topology topics ·
Handlebody
In the mathematical field of geometric topology, a handlebody is a decomposition of a manifold into standard pieces.
3-manifold and Handlebody · Handlebody and List of geometric topology topics ·
Heegaard splitting
In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3-manifold that results from dividing it into two handlebodies.
3-manifold and Heegaard splitting · Heegaard splitting and List of geometric topology topics ·
Homology sphere
In algebraic topology, a homology sphere is an n-manifold X having the homology groups of an n-sphere, for some integer n ≥ 1.
3-manifold and Homology sphere · Homology sphere and List of geometric topology topics ·
Hyperbolic 3-manifold
In mathematics, more precisely in topology and differential geometry, a hyperbolic 3–manifold is a manifold of dimension 3 equipped with a hyperbolic metric, that is a Riemannian metric which has all its sectional curvatures equal to -1.
3-manifold and Hyperbolic 3-manifold · Hyperbolic 3-manifold and List of geometric topology topics ·
I-bundle
In mathematics, an I-bundle is a fiber bundle whose fiber is an interval and whose base is a manifold.
3-manifold and I-bundle · I-bundle and List of geometric topology topics ·
Incompressible surface
In mathematics, an incompressible surface, in intuitive terms, is a surface, embedded in a 3-manifold, which has been simplified as much as possible while remaining "nontrivial" inside the 3-manifold.
3-manifold and Incompressible surface · Incompressible surface and List of geometric topology topics ·
Knot (mathematics)
In mathematics, a knot is an embedding of a circle S^1 in 3-dimensional Euclidean space, R3 (also known as E3), considered up to continuous deformations (isotopies).
3-manifold and Knot (mathematics) · Knot (mathematics) and List of geometric topology topics ·
Knot complement
In mathematics, the knot complement of a tame knot K is the three-dimensional space surrounding the knot.
3-manifold and Knot complement · Knot complement and List of geometric topology topics ·
Knot theory
In topology, knot theory is the study of mathematical knots.
3-manifold and Knot theory · Knot theory and List of geometric topology topics ·
Lens space
A lens space is an example of a topological space, considered in mathematics.
3-manifold and Lens space · Lens space and List of geometric topology topics ·
Link (knot theory)
In mathematical knot theory, a link is a collection of knots which do not intersect, but which may be linked (or knotted) together.
3-manifold and Link (knot theory) · Link (knot theory) and List of geometric topology topics ·
Low-dimensional topology
In mathematics, low-dimensional topology is the branch of topology that studies manifolds, or more generally topological spaces, of four or fewer dimensions.
3-manifold and Low-dimensional topology · List of geometric topology topics and Low-dimensional topology ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
3-manifold and Manifold · List of geometric topology topics and Manifold ·
Orientability
In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point.
3-manifold and Orientability · List of geometric topology topics and Orientability ·
Poincaré conjecture
In mathematics, the Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space.
3-manifold and Poincaré conjecture · List of geometric topology topics and Poincaré conjecture ·
Seifert fiber space
A Seifert fiber space is a 3-manifold together with a "nice" decomposition as a disjoint union of circles.
3-manifold and Seifert fiber space · List of geometric topology topics and Seifert fiber space ·
Sphere
A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").
3-manifold and Sphere · List of geometric topology topics and Sphere ·
Spherical 3-manifold
In mathematics, a spherical 3-manifold M is a 3-manifold of the form where \Gamma is a finite subgroup of SO(4) acting freely by rotations on the 3-sphere S^3.
3-manifold and Spherical 3-manifold · List of geometric topology topics and Spherical 3-manifold ·
Surface (topology)
In topology and differential geometry, a surface is a two-dimensional manifold, and, as such, may be an "abstract surface" not embedded in any Euclidean space.
3-manifold and Surface (topology) · List of geometric topology topics and Surface (topology) ·
Surface bundle over the circle
In mathematics, a surface bundle over the circle is a fiber bundle with base space a circle, and with fiber space a surface.
3-manifold and Surface bundle over the circle · List of geometric topology topics and Surface bundle over the circle ·
Thurston elliptization conjecture
William Thurston's elliptization conjecture states that a closed 3-manifold with finite fundamental group is spherical, i.e. has a Riemannian metric of constant positive sectional curvature.
3-manifold and Thurston elliptization conjecture · List of geometric topology topics and Thurston elliptization conjecture ·
Torus
In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.
3-manifold and Torus · List of geometric topology topics and Torus ·
Torus bundle
In mathematics, in the sub-field of geometric topology, a torus bundle is a kind of surface bundle over the circle, which in turn are a class of three-manifolds.
3-manifold and Torus bundle · List of geometric topology topics and Torus bundle ·
3-sphere
In mathematics, a 3-sphere, or glome, is a higher-dimensional analogue of a sphere.
3-manifold and 3-sphere · 3-sphere and List of geometric topology topics ·
The list above answers the following questions
- What 3-manifold and List of geometric topology topics have in common
- What are the similarities between 3-manifold and List of geometric topology topics
3-manifold and List of geometric topology topics Comparison
3-manifold has 185 relations, while List of geometric topology topics has 97. As they have in common 34, the Jaccard index is 12.06% = 34 / (185 + 97).
References
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